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Finding the Fourth Proportional to 295,347.13, 407,579.06 and 161,211.13

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Solution

The fourth proportional to 295,347.13, 407,579.06 and 161,211.13 is: 222,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,347.13 : 407,579.06 = 161,211.13 : x
  2. Step 2: Convert to fraction form
    295,347.13/407,579.06 = 161,211.13/x
  3. Step 3: Cross multiply
    295,347.13x = 407,579.06 × 161,211.13
  4. Step 4: Simplify right side
    295,347.13x = 65,706,280,826.94
  5. Step 5: Solve for x
    x = 65,706,280,826.94/295,347.13
  6. Step 6: Final answer
    x = 222,471.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.